The law of sine or the sine law expresses the ratio of the side length of a triangle to the sine of the opposite angle, which exists identical for all three sides. It stands also known as the sine rule.
What is an angle?
An angle exists the figure formed by two rays, named the sides of the angle, sharing a common endpoint, named the vertex of the angle. Angles formed by two rays lie in the plane that includes the rays. Angles exist also formed by the intersection of two planes. These exist named dihedral angles.
The law of sine or the sine law expresses the ratio of the side length of a triangle to the sine of the opposite angle, which exists identical for all three sides. It stands also known as the sine rule.
we know that
Applying the law of sines
[tex]$\frac{k}{\sin K}=\frac{j}{\sin J}$[/tex]
[tex]$\frac{11}{\sin K}=\frac{7}{\sin 18}$[/tex]
[tex]$11 * \sin 18=7 * \sin K$[/tex]
[tex]$\sin K=\frac{11}{7} * \sin 18$[/tex]
[tex]$\sin K=0.4856$[/tex]
[tex]$K=\arcsin (0.4856)$[/tex]
[tex]$K=29^{\circ}$[/tex]
so
∠J=18°
∠K=29°
∠L=180-(18+29)=133°
The answer Part a) exists
The measure of angle K exist ≈29°
Part b) the measure of angle K could also be
(180-29)=151°
so
∠J=18°
∠K=151°
∠L=180-(18+151)=11°
The answer Part b) is
The measure of angle K could also be 151°
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Answer:
Triangle JKL meets the SSA criteria, which means it is the ambiguous case.
Substitute the known values into the law of sines: StartFraction sine (18 degrees) Over 7 EndFraction = StartFraction sine (uppercase K) Over 11 EndFraction.
Cross multiply: 11sin(18°) = 7sin(K)
.
Solve for the measure of angle K, and use a calculator to determine the value.
Round to the nearest degree: m∠K ≈ 29°.
However, because this is the ambiguous case, the measure of angle K could also be 151°.
Explanation:
got it right on edge
Select the two highlighted examples that identify problems with the british policy of appeasement
The Highlighted examples that shows the problems with the British policy of appeasement are German absorption of Czechoslovakia and Germany lead over Franco-British Air forces.
What was the problems of policy of appeasement cause?The Appeasement is known to have lead to World War Two and has also lead to other problem.
The Appeasement is known to have led the USSR in the agreement on the fact of the Nazi-Soviet pact with Hitler's Germany. This agreement shows that Hitler did not have to fear a two front war, and it boast and fill his expansionist attitude and risk taking attitude the more.
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Find the distance between points p (-3, 4) and q (1, 6)
Answer:
[tex]2\sqrt{5}[/tex] [tex]units[/tex]
Explanation:
Use the distance formula:
[tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]
[tex]\sqrt{(1-(-3)^{2}+(6-4)^{2} }[/tex]
[tex]\sqrt{(1+3)^{2}+(2)^{2} }[/tex]
[tex]\sqrt{(4)^{2}+4 }[/tex]
[tex]\sqrt{16+4 }[/tex]
[tex]\sqrt{20}[/tex]
[tex]=2\sqrt{5}[/tex] [tex]units[/tex]
Modern industrial countries are working on a shift from ___________ on fossil fuels to ___________ more renewable resources like solar and wind
The electrolysis of molten alcl3 for 4. 25 hr with an electrical current of 25. 0 a produces ________ g of aluminum metal
The electrolysis of molten AlCl3 for 4.25 hr having the current of 25Ampere will produces 35.67g of aluminum metal.
What is Electrolysis?Electrolysis can be described as the process where by electric current is passed through a substance to effect a chemical change.
The mass of the deposited metal can be calculated as
=[tex]W = CEt/96500[/tex]
Given;
t = time taken = 4.25hr
we can convert the time given from ( hrs) to secs as follows;
60secs=1 mins
60*60 secs = 1 hr
Then 25hrs= 4.25*60*60 = 15300s
C = Current = 25.0 A
E = Equivalent mass of Aluminum =9
Atomic-mass/valency = 27/3 = 9
If we substitute the values we have;
[tex]W = ( 27*9*15300)/96500[/tex]
= 35.67g
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In the first sentence, the way in which the author combines clauses after the main verb "is" ("what makes an artist. . . A good work of art") indicates that he
The way in which the author combines clauses after the main verb "is" helps to: attach equal importance to the topics he intends to address.
What is a clause?In English language, a clause can be defined as a group of words that comprises both a subject and an infinite verb (predicate).
What is a verb?A verb is one of the parts of speech in English language and it can be defined as any word that describes an occurrence, action, or state of existence. Some examples of verb are dance, is, sing, play, run, walk, sit, etc.
Based on the passage, the author combines clauses after the main verb "is" so as to attach equal importance to the topics he intends to address.
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Chapter 6 maintaining mathematical proficiency answers algebra 1
The expression is an illustration of the mathematical operators
The result of simplifying [tex]12(\frac{14}2) - 3^2 + 15 - 9^2[/tex] is 9
How to simplify the expression?From the complete question (see attachment), we have the following mathematical expression
[tex]12(\frac{14}2) - 3^2 + 15 - 9^2[/tex]
Evaluate the quotient of 14 and 2
[tex]12(\frac{14}2) - 3^2 + 15 - 9^2 = 12(7) - 3^2 + 15 - 9^2[/tex]
Evaluate all exponents and products
[tex]12(\frac{14}2) - 3^2 + 15 - 9^2 = 84 - 9 + 15 - 81[/tex]
Evaluate the differences and sums
[tex]12(\frac{14}2) - 3^2 + 15 - 9^2 = 9[/tex]
Hence, the result of simplifying [tex]12(\frac{14}2) - 3^2 + 15 - 9^2[/tex] is 9
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fia dose 48 spins in the evening she does 6 times as many spins in the evening than the morning how many did she do in the morning
Answer: 8
Explanation: 48 divided by 6=8
Zinc is an essential trace element. It is part of the active site for the enzyme carboxypeptidase. Which of the following is the function of zinc?
The correct function of zinc as a cofactor is that; its is a cofactor necessary for enzyme activity
What is the function of zinc as a cofactor?
It has been shown that the loss of the zinc in the active side of carboxypeptidase leads to loss of enzyme activity. The enzyme can be reactivated by adding zinc, but also by adding some other divalent metals such as cobalt, or nickel.
Carboxypeptidase is an example of metaloenzyme that hydrolyzes a peptide bonds in the protein as well as other types in humans with various functions from catabolic to protein maturation.
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Bowler world charges $5. 00 to rent shoes and $1. 10 per game. Lucky spares charges $3. 00 for shoes and $1. 50 per game
What effect does the symbol of the bleeding statue have on the meaning of this passage? the statue is a negative symbol that shows decius is a conspirator. The statue is a positive symbol for the love citizens have for caesar. The statue is a negative symbol that means caesar should stay home. The statue is a positive symbol that suggests caesar will nourish rome
The effect of the symbol of the bleeding statue on the meaning of this passage is: D. The statue is a positive symbol that suggests Caesar will nourish Rome.
What is symbolism?Symbolism can be defined as a literary device which is used by an author to convey an idea, emotion or mood to his or her audience (readers), especially through the use of symbols, people, words, marks, locations to represent it.
The tragedy of Julius Caesar.In this scenario, the excerpt was taken from a literary work titled "The tragedy of Julius Caesar" about a nightmare by Calpurnia with respect to the bleeding statue of Caesar.
Based on the given excerpt, we can deduce that the bleeding statue is a positive symbol that suggests Caesar will nourish Rome and be successful.
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Answer:
d
Explanation:
How might mike smith have benefited from chemotherapy that was developed using precision medicine?
Mike Smith was able to benefit from chemotherapy that was developed by using precision medicine because the chemotherapy was tailored to Mike's needs.
What is a chemotherapy?In medicine, the term means a special drug treatment that entails the admission of powerful chemicals which helps to kill fast-growing cells in the body.
The precision medicine of chemotherapy is very effective because it is a targeted therapy that works by either stopping or slowing the growth or spread of cancer.
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Using the formula for kinetic energy of a moving particle k=12mv2, find the kinetic energy ka of particle a
Explanation:
Question not complete
Formula for kinetic energy = K.E=½mv²
Lin is the regional manager for a chain of stores. She wants to determine which store should receive a higher volume of team wristbands. The box plots represent the number of team wristbands sold daily at two of Lin’s stores. Which store has a greater variety of numbers of wristbands sold? How do you know?
The store that has a greater variety of numbers of wristbands sold is the store whose box plot has a greater IQR value.
How do we Determine Variability in a Box Plot?Variability of a data distribution that is represented by a box plot can be determined by the interquartile range (IQR) = Upper Quartile (Q3) - Lower Quartile (Q1).See the diagram attached below to understand how to get the Q3 and Q1 of the data distribution.In conclusion, variability is a measure of IQR. The greater the IQR of a box plot, the greater the variety. Thus, the store that has a greater variety of numbers of wristbands sold is the store whose box plot has a greater IQR value.
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What type of heat transfer happens from the stove to the pan
Answer:
Conduction
Explanation:
Conduction is the process of heat being transferred between objects through direct contact
A few years after a major oil spill, which area is most fragile in terms of its biodiversity? benthic areas the polar waters the middle water tropical areas
A few years after a major oil spill, the area which is most fragile in terms of its biodiversity is the middle water.
What is an oil spill?An oil spill can be defined as a process through which liquid petroleum or oil (hydrocarbon) is released into the physical environment, especially the sea or other body of water.
Generally, the middle water is the part of a marine ecosystem that is most susceptible to a major oil spill because it is most fragile in terms of its biodiversity.
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If peak electricity use occurs around 2p. M. In the los angeles area and avoiding brownouts is more important to the installers of the pv panels than annual energy output, which of the following pv panel systems would be best to use in the area?
The photovoltaic (PV) panel system which would be best to use in this Los Angeles area is no tracking, tilted west.
What is a PV panel system?A PV panel system is an abbreviation for photovoltaic (PV) panel system and it is also referred to as a photovoltaic module, solar cell panel, or solar electric panel.
In Science, a PV panel system can be defined as an assembly of photovoltaic cells that transforms light energy (sunlight) which are obtained directly from the Sun into electrical energy (electricity).
Since peak electricity use occurs around 2 P.M, the photovoltaic (PV) panel system which would be best to use in this Los Angeles area is no tracking, tilted west because it helps to prevent brownouts.
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A bond issued by the u. S. Treasury with a maturity of 90 days is sold on the
Express Ksp in terms of molar solubility, x , for the salts with the given formulas. ab(s) Ksp= ab2(s) Ksp= ab3(s) Ksp= a3b2(s) Ksp=
The molar solubility product (Ksp) of the salts is as follows:
[tex]\mathbf{Ksp = x^2}[/tex][tex]\mathbf{Ksp = 4x^3}[/tex][tex]\mathbf{Ksp = 27x^4}[/tex][tex]\mathbf{Ksp = 108x^5}[/tex]What is Molar Solubility?The solubility product (Ksp) is the equilibrium constant for the dissolution of a substance. The solubility product (Ksp) of a chemical substance is the fraction of concentrations at equilibrium
Given that:
The molar solubility of the salt = xFor the salt AB(s), we have:
[tex]\mathbf{AB_{(s) } \leftrightharpoons A^+_{(aq)} + B^-_{(aq)} }[/tex]
[tex]\mathbf{[ A^+] = [B^-] = x}[/tex]
[tex]\mathbf{Ksp = [ A^+] [B^-] = x^2}[/tex]
For the salt AB²(s), we have:
[tex]\mathbf{AB^2_{(s) } \leftrightharpoons A^+_{(aq)} + 2B^-_{(aq)} }[/tex]
[tex]\mathbf{Ksp = [ A^+] [2B^-]^2}[/tex]
[tex]\mathbf{Ksp = [ x] [2x]^2} \\ \\ \mathbf{Ksp =4x^3}[/tex]
For the salt AB³(s), we have:
[tex]\mathbf{AB^3_{(s)} \leftrightharpoons A^+(aq) + 3B^-_{(aq)}}[/tex]
[tex]\mathbf{Ksp = [ A^+] [3B^-]^3 } \\ \\ \mathbf{ Ksp = [ x] [3x]^3 } \\ \\ \mathbf{Ksp= 27x^4}[/tex]
For the salt A³B²(s), we have:
[tex]\mathbf{A^3B^2_{(s)} \leftrightharpoons 3A^+(aq) + 2B^-(aq)}[/tex]
[tex]\mathbf{Ksp = [ 3A^+] [2B^-]^3} \\ \\ \mathbf{Ksp = [ 3x]^3 [2x]^2} \\ \\ \mathbf{Ksp = 108x^5}[/tex]
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Big ideas math: algebra 1 (florida edition) solutions
A conditional statement, symbolized by p → q, can be written as an “if-then
the statement” in which p is the hypothesis and q is the conclusion. Here is an example.
hypothesis, conclusion,
If a polygon is a triangle, then the sum of its angle measures is 180 .
p q
°
3 known families who owned the big corporations in the philippines
Answer:
zubel family . lucio tan . abiotiz clan
Facilities that recycle refrigerant must meet or exceed society of automotive engineers (sae) standards established for either machine
Facilities that recycle refrigerant must meet or exceed Society of Automotive Engineers (SAE) standards established for either machine: True.
What is SAE?SAE is an acronym for Society of Automotive Engineers and it can be defined as a worldwide professional association and standards developing organization that was established in 1905 in the United States of America.
The main purpose of the Society of Automotive Engineers (SAE) is to design and develop standards that must be followed or adhered to by engineering professionals in various industries.
According to the Society of Automotive Engineers (SAE), recycled refrigerant must meet or perhaps exceed Society of Automotive Engineers (SAE) standards established for machines.
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Two sustainable ways in which businesses could assist school leavers to be prepared for workplace
Answer:
Hi, one way that businesses could assist, is to offer some part-time opportunities and with that, wouldn't it be great if the students receive class credits in doing this! Another way businesses could assist is, they can speak at school student assemblies and advise employment opportunities and offer them the tools needed for a specific job.
Explanation:
How does the author portray scotty in this excerpt? his confidence is transformed by the crowd’s response. His musical ability is improving as he performs. His anger is unleashed by the chaos of the crowd. His excitement is shown by his moves on stage
The way that the author portrays Scotty in the given excerpt is that; A: His confidence is transformed by the crowd’s response
What does the authors excerpt portray?The given excerpt is taken from a fiction book titled "A Visit from the Goon Squad" written in 2011 by American author Jennifer Egan.
At the beginning of the excerpt, we have a clear clue that would lead us to the fact that his confidence is transformed by the crowd's response which is that "... a swell of approval palpable as rain lifted from the center of the crowd and rolled out toward its edges...".
The meaning of that quoted statement at the beginning of the excerpt is that the crew was encouraging him due to the fact that they liked what they were watching and feeling. Thus, the passage describes how the crew reacted and how it gave strength to him to go on the stage and perform on it.
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Answer:
AAAAAAAAAAA
Explanation:
An experiment was conducted to determine whether the price of a golf club affected the distance a golfer could hit a golf ball. A sample of 60 golfers were randomly assigned to one of two groups, c or e. The 30 golfers in group c were given a club and told the price of the club was cheap; the 30 golfers in group e were given the same club and told the price of the club was expensive. In reality, there was no difference in price. The golfers used their assigned clubs to hit a golf ball as far as they could. The distance, in yards, that each golfer hit the golf ball was recorded, and the mean distance calculated for each group. A two-sample t-test for a difference in means will be conducted
The true statements about the data from the t-test will be:
The data was collected using random assignment, the golfers were assigned randomly to the two groups.The data was also collected using random selection.The distribution of the difference in the sample means will be normally distributed as well according to the central limit theorem.What is a t-test?
A t-test simply means a type of inferential statistic that is used to determine if there is a significant difference between the means of two groups,
From the complete question, the data was collected using random assignment, the golfers were assigned randomly to the two groups, it was also collected using random selection and the distribution of the difference in the sample means will be normally distributed.
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Discuss how being awarded a bursary could enable you to succeed at tertiary institutions
Answer:
Bursaries allow you to further your education and study any course you would like. A bursary could cover half or all your study fees. It could also cover your transportations, housing, study material and living expenses. Doing some research will help you find out what your bursary provider covers .
A scientist is investigating whether percent concentration can be used to predict density in apple juice. A scientist selected a random sample of 12 apple juice varieties and recorded the density, in pounds per cubic inch, and the percent concentration of each apple juice variety. The scientist wants to estimate the mean change in the density, in pounds per cubic inch, for each increase of 1 percent concentration of apple juice
The most appropriate inference procedure for the given investigation is;
A linear regression t-interval for the slope
What is the inferential statistic?We are told that the slope of an horizontal line is zero and that there is no change in the y (dependent) variable when there is a change in the x-variable. Thus, we need to find the true relationship between the two variables, 'x', and 'y'.
The confidence interval of the slope is calculated and analyzed to find out if it excludes or includes, 0. Thus, if the confidence interval excludes 0, then, it is unlikely that the slope is 0 and therefore the relationship between the variables, 'x', and 'y' is significant
In conclusion, a linear regression t-interval for the slope is most appropriate inference procedure.
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Answer:
A linear regression t-interval for slope
The five members of the traynor family each buy train tickets. During the train ride, each family member buys a boxed lunch for $6. 50. If the total cost of the trip is $248. 50, what is the price of each train ticket? enter your answer in the box
Answer:
Each ticket is $43.20
Explanation:
If there are five family members, and the meals are $.6.50 each, we will multiply $6.50 by 5.
$6.50 × 5= $32.5
Now we subtract the meals from the total of $248.50.
$248.50 - $32.5= $216
All five tickets cost $216, now we divide this by 5 since five tickets were bought.
[tex]\frac{216}{5}[/tex]= $43. 2
Each ticket was $43.20
Let's double-check:
$32.5 + $43.20(5)= $32.5 + $216= $248.50
Raul deposited $3000 into a bank account that earned simple interest each year. After 3. 5 years, he had earned $262. 50 in interest. No money was deposited into or withdrawn from the account. What was the annual interest rate? enter your answer in the box
Answer: hi
Explanation: sorry I don’t know
Answer:
262.50
Explanation:
because u got to multiply
Which two systems interact to maintain homeostasis
The circulatory system and nervous system
The formation of the silver(i) ammine complex ion is a reversible reaction that is allowed to reach equilibrium. For each subsequent change to the system, indicate how the concentration of each species in the chemical equation will change to reestablish equilibrium. An up arrow indicates an increase in concentration, a down arrow indicates a decrease in concentration, and leaving it blank means there is no change in the concentration
The equilibrium for the formation of silver(i) ammine complex ion is [Ag(H2O)6]^+(aq) + 6NH3(aq) ⇄ [Ag(NH3)6]^+(aq) + 6H2O(l).
What is equilibrium constant?The term equilibrium constant shows the extent to which reactants are converted into products. Recall that when the equilibrium is disturbed by a constraint, the system readjusts itself in order to annul the constraint.
The question is incomplete but the equilibrium for the formation of the silver(i) ammine complex ion is shown by;
[Ag(H2O)6]^+(aq) + 6NH3(aq) ⇄ [Ag(NH3)6]^+(aq) + 6H2O(l)
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